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A long solenoid has 1000 turns. When a c...

A long solenoid has `1000` turns. When a current of `4A` flows through it, the magnetic flux linked with each turn of the solenoid is `4xx10^(-3)Wb`. The self-inductance of the solenoid is

A

3 H

B

2 H

C

1 H

D

4 H

Text Solution

Verified by Experts

The correct Answer is:
C

Given, number of turns of solenoid, N = 1000
Current, I = 4A
Magnetic flux, `phi_(B)=4xx10^(-3)Wb`
`because` Self-inductance of solenoid is given by
`L=(phi_(B)N)/(I)`
Substituting the given values in Eq. (i), we get
`L=(4xx10^(-3)xx1000)/(4)=1H`
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Knowledge Check

  • A long solenoid has 1000 turns. When a current of 4A flows through it, the magnetic flux linked with each turn of the solenoid is 4 xx 10^(-3) Wb . The self inductance of the solenoid is:

    A
    4 H
    B
    3 H
    C
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    D
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    A
    4 H
    B
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    C
    2H
    D
    1 H
  • A long solenoid has 500 turns. When a current of 2A is passed through it, the resulting magnetic flux linked with each turn of the splenoid is 4xx10^(-3)Wb . The self-inductance of the solenoid is

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    B
    `4.0` henry
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